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A group of students has an average score of 75. If one student with a score of 9

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Question: A group of students has an average score of 75. If one student with a score of 90 leaves, what will be the new average if the group size is 10?

Options:

  1. 72
  2. 73
  3. 74
  4. 75

Correct Answer: 73

Solution: 

Total score = 75 * 10 = 750. New total = 750 - 90 = 660. New average = 660 / 9 = 73.33.

A group of students has an average score of 75. If one student with a score of 9

Practice Questions

Q1
A group of students has an average score of 75. If one student with a score of 90 leaves, what will be the new average if the group size is 10?
  1. 72
  2. 73
  3. 74
  4. 75

Questions & Step-by-Step Solutions

A group of students has an average score of 75. If one student with a score of 90 leaves, what will be the new average if the group size is 10?
  • Step 1: Calculate the total score of the group. Since the average score is 75 and there are 10 students, multiply 75 by 10. Total score = 75 * 10 = 750.
  • Step 2: Subtract the score of the student who is leaving. The student has a score of 90, so subtract 90 from the total score. New total score = 750 - 90 = 660.
  • Step 3: Calculate the new average score. Now there are 9 students left in the group, so divide the new total score by 9. New average = 660 / 9 = 73.33.
  • Average Calculation – Understanding how to calculate the average score of a group based on total scores and group size.
  • Impact of Removing a Score – Analyzing how the removal of an individual score affects the overall average.
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